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Finding the Third Proportional to 909,474 and 1,515,699

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Solution

The third proportional to 909,474 and 1,515,699 is: 2,526,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,474 : 1,515,699 = 1,515,699 : x
  2. Step 2: Convert to fraction form
    909,474/1,515,699 = 1,515,699/x
  3. Step 3: Cross multiply
    909,474x = 1,515,699 × 1,515,699
  4. Step 4: Simplify right side
    909,474x = 2,297,343,458,601
  5. Step 5: Solve for x
    x = 2,297,343,458,601/909,474
  6. Step 6: Final answer
    x = 2,526,013.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.